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Pr 2: (25 pt) The thrust of a propeller, F, is thought to be a function of its diameter D, angular velocity Ω, forward s
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Pr 2: (25 pt) The thrust of a propeller, F, is thought to be a function of its diameter D, angular velocity Ω, forward s
Pr 2: (25 pt) The thrust of a propeller, F, is thought to be a function of its diameter D, angular velocity Ω, forward speed, U, fluid density, ρ, and viscosity μ F=F(ρ,U,D,Ω,μ) (a) (5 pt) How many primary dimensions are there in this set of variables in th MLt system? (b) (5 pt) How many Pi groups will be formed by this set? Show work. (c) (15 pt) Use the Pi theorem to derive the Pi groups and show the functional relationship in dimensionless form. Use ρ,U,D as repeating parameters and use M,L,t system.
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